Halves and Wholes
Defining rational numbers and exploring their representation as fractions and decimals, including conversion between forms.
Key Questions
- Can you fold this piece of paper in half so both sides match?
- Is this shape cut into two equal halves — how can you tell?
- Show me half of these 4 apples.
NCCA Curriculum Specifications
Suggested Methodologies
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Planning templates for Foundations of Mathematical Thinking
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Counting and Number Sense
Number Systems: Natural Numbers and Integers
Revisiting natural numbers and introducing integers, including their representation on the number line and ordering.
2 methodologies
Adding Small Numbers
Defining and identifying prime and composite numbers, and understanding prime factorisation.
2 methodologies
Comparing and Ordering Numbers
Exploring factors and multiples, and calculating the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of numbers.
2 methodologies
Taking Away and Subtraction
Mastering addition and subtraction of integers, including rules for positive and negative numbers.
2 methodologies
Sharing Equally
Mastering multiplication and division of integers, including rules for positive and negative numbers.
2 methodologies